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Finding the Third Proportional to 369,136 and 789,457

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Solution

The third proportional to 369,136 and 789,457 is: 1,688,381.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,136 : 789,457 = 789,457 : x
  2. Step 2: Convert to fraction form
    369,136/789,457 = 789,457/x
  3. Step 3: Cross multiply
    369,136x = 789,457 × 789,457
  4. Step 4: Simplify right side
    369,136x = 623,242,354,849
  5. Step 5: Solve for x
    x = 623,242,354,849/369,136
  6. Step 6: Final answer
    x = 1,688,381.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.